The WHITE Corners. Lesson 3. Lesson Extension. Lesson Review. Rubik s Trivia

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1 The WHITE Corners 3 2 Review Focus Review

2 GOAL: The WHITE Corners The goal of this stage is to get the WHITE corners on the UP face with the TOP layer of each face matching the center piece. 2 Review Focus Review

3 ¼ Turns R Ri L Li D Di 2 Review U Ui B Bi F Fi Inverted means opposite. By inverdng a move, the move can be undone. Focus Review

4 Layer and Faces LEFT Face RIGHT Face of the Cube of the Cube Layers are three- dimensional (Length, width and height). The word face refers to the flat area of a layer. Faces are two- dimensional (length and width). FRONT Face of the Cube DOWN Face of the Cube Le= layer Right layer Front layer of the Cube of the Cube of the Cube BoGom layer of the Cube 2 Review Focus Review BACK Face UP Face of the Cube of the Cube Top layer of the Cube Back layer of the Cube

5 SCRAMBLED CUBE 25 Random ¼ Turns 2 Review Focus Review

6 Make sure the WHITE face is UP. Find a WHITE edge. Twist the row of the cube that has the WHITE edge undl the WHITE edge is on the BOTTOM layer. Twist the DOWN face D ¼ turn. REVIEW FROM THE WHITE CROSS Put the layer you moved back to where it was originally. Put the WHITE edge directly below the matching colored center piece. Place on the RIGHT face. Make two R ¼ turns, so the WHITE edge is on the TOP layer. To get the WHITE edges matched with the correct faces: 2 Review Repeat all the steps for each WHITE edge. If the paoern is not WHITE, WHITE use the sequence to correct the paoern: Focus Review

7 ALGORITHM An algorithm is a set of rules or set of steps that we use to solve math problems. 2 Review Focus Review

8 PERMUTATION A PermutaDon is a combinadon of moves or a variadon of possible arrangements of moves. 2 Review Focus Review

9 PosiDon the WHITE face as the UP face. PosiDon the BLUE face as the RIGHT face. PosiDon the RED face as the FRONT face. Find the WHITE/BLUE/RED corner. If the WHITE/BLUE/RED corner is on the TOP layer, move it to the BOTTOM layer. To get the WHITE/BLUE/RED corner in the correct posidon: Make a ¼ turn undl the WHITE/BLUE/RED corner piece is on the BOTTOM layer. Twist the DOWN face a D ¼ turn. ATer compledng the D turn, reverse the original ¼ turn to the previous posidon. Once the WHITE/BLUE/RED corner piece is on the BOTTOM layer, twist the DOWN face of the cube undl the WHITE/BLUE/RED corner is directly below its intended posidon, at the booom, right- hand corner of the cube. You may have to perform more than one ¼ turn permutadon to get the corner underneath its intended posidon. Your cube should look like one of these pictures: 2 Review Focus Review

10 With the WHITE/BLUE/RED corner directly below its intended posidon, with the BLUE face as the RIGHT face, do the following algorithm: To get the WHITE/BLUE/RED corner in the correct posidon: 2 Review Repeat the algorithm, keeping the RED face as the FRONT face, (without turning the cube), undl the WHITE/BLUE/RED corner is in its correct posidon on the TOP layer. Focus Review

11 PosiDon the WHITE face as the UP face. PosiDon the ORANGE face as the RIGHT face. PosiDon the BLUE face as the FRONT face. Find the WHITE/ORANGE/BLUE corner. If the WHITE/ORANGE/BLUE corner is on the TOP layer, move it to the BOTTOM layer. To get the WHITE/ORANGE/BLUE corner in the correct posidon: 2 Review Make a ¼ turn undl the WHITE/ORANGE/BLUE corner piece is on the BOTTOM layer. Twist the DOWN face a D ¼ turn. Reverse the original ¼ turn to the previous posidon. Once the WHITE/ORANGE/BLUE corner piece is on the BOTTOM layer, twist the DOWN face of the cube undl the WHITE/ORANGE/BLUE corner is directly below its intended posidon, at the booom, right- hand corner of the cube. You may have to perform more than one ¼ turn permutadon to get the corner underneath its intended posidon. Your cube should look like one of these pictures: Focus Review

12 With the WHITE/ORANGE/BLUE corner directly below its intended posidon, with the ORANGE face as the RIGHT face, do the following algorithm: To get the WHITE/ORANGE/BLUE corner in the correct posidon: 2 Review Repeat the algorithm, (without turning the cube), undl the WHITE/ORANGE/BLUE corner is in its correct posidon on the TOP layer. Focus Review

13 PosiDon the WHITE face as the UP face. PosiDon the GREEN face as the RIGHT face. PosiDon the ORANGE face as the FRONT face. Find the WHITE/GREEN/ORANGE corner. If the WHITE/GREEN/ORANGE corner is on the TOP layer, move it to the BOTTOM layer. To get the WHITE/GREEN/ORANGE corner in the correct posidon: 2 Review Make a ¼ turn undl the WHITE/GREEN/ORANGE corner piece is on the BOTTOM layer. Twist the DOWN face a D turn. Reverse the original ¼ turn back to the previous posidon. Once the WHITE/GREEN/ORANGE corner piece is on the BOTTOM layer, twist the DOWN face of the cube undl the WHITE/GREEN/ORANGE corner is directly below its intended posidon, at the booom, right- hand corner of the cube. You may have to perform more than one ¼ turn permutadon to get the corner underneath its intended posidon. Your cube should look like one of these pictures: Focus Review

14 With the WHITE/GREEN/ORANGE corner directly below its intended posidon, with the GREEN face as the RIGHT face, do the following algorithm: To get the WHITE/GREEN/ORANGE corner in the correct posidon: 2 Review Repeat the algorithm, without turning the cube, undl the WHITE/GREEN/ORANGE corner is in its correct posidon on the TOP layer. Focus Review

15 PosiDon the WHITE face as the UP face. PosiDon the RED face as the RIGHT face. PosiDon the GREEN face as the FRONT face. Find the WHITE/RED/GREEN corner. If the WHITE/RED/GREEN corner is on the TOP layer, move it to the BOTTOM layer. To get the WHITE/RED/GREEN corner in the correct posidon: 2 Review Make a ¼ turn undl the WHITE/RED/GREEN corner piece is on the BOTTOM layer. Twist the DOWN face a D ¼ turn. Reverse the original ¼ turn back to the previous posidon. Once the WHITE/RED/GREEN corner piece is on the BOTTOM layer, twist the DOWN face of the cube undl the WHITE/RED/GREEN corner is directly below its intended posidon, at the booom, right- hand corner of the cube. You may have to perform more than one ¼ turn permutadon to get the corner underneath its intended posidon. Your cube should look like one of these pictures: Focus Review

16 With the WHITE/RED/GREEN corner directly below its intended posidon, with the RED face as the RIGHT face, do the following algorithm: To get the WHITE/RED/GREEN corner in the correct posidon: 2 Review Repeat the algorithm, without turning the cube, undl the WHITE/RED/GREEN corner is in its correct posidon on the TOP layer. Focus Review

17 If you accidentally place a WHITE corner with the incorrect face, reposidon the WHITE corner on the BOTTOM layer underneath its intended posidon on the TOP layer and use the algorithm: TroubleshooSng Make sure the WHITE cross remains intact each Dme you reposidon a WHITE corner. 2 Review Focus Review

18 Examine your Rubik s Cube GOAL: The WHITE Corners The goal of this stage is to get the WHITE corners on the UP face with the TOP layer of each face matching the center piece. 2 Review Focus Does your Rubik s Cube look like this? Review

19 You have achieved The WHITE Corners 2 Review Focus Review

20 REVIEW To get the WHITE corners matched with the correct faces: 2 Review PosiDon the WHITE face as the UP face. PosiDon a WHITE corner on the BOTTOM layer underneath its intended posidon. Use the algorithm as many Dmes as needed undl the corner is in the correct posidon. Repeat the steps for each WHITE corner undl all four corners are in the correct posidons. Focus Review

21 5 How does this lesson apply to math? Review Focus RepeaDng the paoern or algorithm as many Dmes as needed is similar to repeadng the steps to solve a long division problem with decimals. In this long division problem, every number was divided by the divisor (5) and the next number in the dividend (56.34) was brought down to make a new dividend. When solving for the WHITE Corners, every booom corner starts the same way. The algorithm is used to place the corner in the correct place. With the next corner, the same algorithm is used to place that corner correctly. Review

22 QuesSon: Who produced the most expensive Rubik s Cube? What was it called? Answer: The most expensive Rubik s Cube was the Masterpiece Cube, produced by Diamond CuOers InternaDonal in The actual size, fully- funcdonal cube features 225 carats of amethyst, 25 carats of rubies, and 24 carats of emeralds, all set in 18- karat gold, and was valued at approximately 1.5 million US dollars. Lesson 2 Review Vocabulary Lesson Focus Lesson Review Lesson Extension Rubik s Trivia

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